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Finding the Fourth Proportional to 115.43, 159.32 and 76.02

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Solution

The fourth proportional to 115.43, 159.32 and 76.02 is: 104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.43 : 159.32 = 76.02 : x
  2. Step 2: Convert to fraction form
    115.43/159.32 = 76.02/x
  3. Step 3: Cross multiply
    115.43x = 159.32 × 76.02
  4. Step 4: Simplify right side
    115.43x = 12,110.71
  5. Step 5: Solve for x
    x = 12,110.71/115.43
  6. Step 6: Final answer
    x = 104.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.